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emmainna [20.7K]
3 years ago
12

The first discount on a camera was 18%. The second discount was 20%. After these two discounts the price was $328. What was the

original price?
Mathematics
1 answer:
pogonyaev3 years ago
3 0

Answer:

$500

Step-by-step explanation:

We can find the original price of the camera through a proportion. A proportion is an equation where two ratios or fractions are equal. The ratios or fractions compare like quantities.

<u>Second Discoun</u>t

20% off means we paid 80%. We know we paid $328 of some price.

\frac{80}{100} =\frac{328}{y} \\

I can now cross-multiply by multiplying numerator and denominator from each ratio.

80y=100(328)\\80y=32800

I now solve for y by dividing by 80.

\frac{80y}{80} =\frac{32800}{80}

y=410

The price after the first discount was $410.

<u>First Discount</u>

We will repeat the steps above with $410. 18% off means we paid 82%.

\frac{82}{100}=\frac{410}{y}

I can now cross-multiply by multiplying numerator and denominator from each ratio.

82y=100(410)\\82y=41000

I now solve for y by dividing by 82.

\frac{82y}{82} =\frac{41000}{82}

y=500

The original price was $500.

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